1461132288 has 528 divisors, whose sum is σ = 5518056960. Its totient is φ = 361267200.

The previous prime is 1461132241. The next prime is 1461132341. The reversal of 1461132288 is 8822311641.

1461132288 is a `hidden beast` number, since 1 + 4 + 611 + 32 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1461132288² = 4269815126072229888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18432) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20579293 + ... + 20579363.

Almost surely, 2^1461132288 is an apocalyptic number.

1461132288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759028480).

1461132288 is an abundant number, since it is smaller than the sum of its proper divisors (4056924672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1461132288 is a wasteful number, since it uses less digits than its factorization.

1461132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1461132288 is about 38224.7601431324. The cubic root of 1461132288 is about 1134.7403878789.

The spelling of 1461132288 in words is "one billion, four hundred sixty-one million, one hundred thirty-two thousand, two hundred eighty-eight".